The domain and range of $f(x) = \frac{|x - 3|}{x - 3}$ are respectively:

  • A
    $R, \{-1, 1\}$
  • B
    $R - \{3\}, \{-1, 1\}$
  • C
    $R^+, R$
  • D
    None of these

Explore More

Similar Questions

The domain of the function $f(x) = \sqrt{2 - 2x - x^2}$ is

The domain of the function $f(x) = \sqrt{\frac{1-|x|}{2-|x|}}$ is

Match the following functions with their respective ranges:
FunctionRange
$A. f(x) = |x|$$I. [0, \infty)$
$B. f(x) = x^2$$II. \mathbb{R}$
$C. f(x) = x^3$$III. [0, \infty)$
$D. f(x) = \text{sgn}(x)$$IV. \{-1, 0, 1\}$

Find the domain of the function $f(x) = \frac{1}{\sqrt{(x + 1)(e^x - 1)(x - 4)(x + 5)(x - 6)}}$.

Range of the function $f(x) = \frac{x^2}{x^2 + 1}$ is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo